MTH 243 Calculus for Functions of Several Variables

Fall 2016

Description:
MTH 243 is a third calculus course, with the focus on functions of 2,3, and more variables
and the extensions of the ideas of elementary calculus to higher dimensions.

Outcomes: At the conclusion of this semester you will be able to:

read and interpret
3d plots and 2d/3d contour diagrams, read and interpret
tables of functions of several variables, and plot by hand
the graph of simple functions of 2 variables, and simple contour
plots of 2 or 3 variables,

do calculations with
vectors that involve the concepts of addition, scalar multiplication,
dot product, cross product, magnitude, projection, and use these
concepts in geometry and physics applications,

calculate partial
and directional derivatives, gradients and differentials of function
of several variables, use local linearization to approximate
functions,

calculate critical
points, use the second derivative test to determine local extrema
and saddle points (for functions of two variables only),
use these concepts to solve unconstrained optimization problems,
and use Lagrange multipliers to solve constrained optimization
problems,

WileyPlus:
We will be using WileyPlus online homework system this semester.
To sign up for the WileyPlus system, you will need a WileyPlus registration code.
If you buy a copy of our textbook at the URI Bookstore, a registration code
for WileyPlus will be included with the book at no additional cost.
If you buy a copy somewhere else and it does not include WileyPlus code, you will need to purchase a WileyPlus code separately.

Prerequisites:
MTH 142

Accommodations: Any student with a documented disability
is welcome to contact me as early in the semester as possible so that
we may arrange reasonable accommodations. As part of this process,
please be in touch with Disability Services for Students Office at 330
Memorial Union, 401-874-2098.

Standards of behaviour: Students are responsible for being
familiar with and adhering to the published "Community Standards of
Behavior: University Policies and Regulations" which can be accessed in
the University Student Handbook. If you must come in late, please do not
disrupt the class. Please turn off all cell phones, pagers, or any
electronic devices.